Pls help me with these

The one way to determine factors of x³  + 11x² – 3x – 33  will be [tex]x^2(x+11)-3(x+11)_[/tex].

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

1. For each pair of parentheses, we create a common factor.

2. We use x2 as a common factor for the first parenthesis.

3. We use common factor 3 for the second parenthesis.

[tex]x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_[/tex]

We will find the final solution as [tex]x^2(x+11)-3(x+11)_[/tex].

Hence the one way to determine factors of x³  + 11x² – 3x – 33  will be [tex]x^2(x+11)-3(x+11)_[/tex].

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Answer:

Problem 4: Dog pens 2 and 3

Problem 5: Dog Pens 1 and 2

Problem 6: 6cm and 6cm

problem 7: A

Step-by-step explanation:

Answer:

D. Triangles B and C

Step-by-step explanation:

When we look to Triangles B & C :-

37° = 37°

53° = 53°

90° = 90°

Therefore, both Triangles B and C are similar.

Answer:

D. Triangles B and C

Step-by-step explanation:

The antilog provides the solution to the logarithmic equation. Then x has values of 2 and 4.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The logarithmic equation is given below.

[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]

Take antilog, then we have

[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]

Then the value of the x is 2 and 4.

More about the factorization link is given below.

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Answer:

a = 11

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {a}^{2} + {26.4}^{2} = {28.6}^{2} [/tex]

[tex] {a}^{2} + 696.96 = 817.96[/tex]

[tex] {a}^{2} = 121[/tex]

[tex]a = 11[/tex]

Answer:

I'd love to help, but I need the full question first!!!

Answer:

Area of Trapezium=1/2h(L1+L2)

I think it will help you

Answer:

39

Step-by-step explanation:

Let h: hit

Let n: not hit

1) We can create two equations and solve them simultaneously using the substitution method or elimination.

h + n = 100

12h - 4n = 224

2) Solve them. I will demonstrate using the substitution method.

n = 100 - h

-----------------------

12h - 4(100 - h) = 224

12h - 400 + 4h = 224

16h = 224 + 400

16h = 624

h = 624/16

h = 39

3) Substitute the result into one of the equations above.

n = 100 - 39

n = 61

Since the question wants you to write the number of times the dragon was hit, the answer is 39.

Step-by-step explanation:

4) 36

5) 45⁰

6) 42⁰

I hope it helped you

The options have not been given but three correct alternatives have been presented as the solution.

We have given,

[tex]\frac{c^2-4}{c+3} /\frac{c+2}{3(c^2-9)}[/tex]

Applying the rule a^2-b^2 to the numerator of the first term and the denominator of the second term,

[tex](a^2-b^2)=(a-b)(a+b)[/tex]

By applying the above formula we have:

[tex]=\frac{c^2-2^2}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]

[tex]=\frac{(c-2)(c+2)}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]

Therefore the solution is,

[tex]=(c-2) \times 3(c-3)\\\\=3(c^2-5c+6)\\\\=3c^2-15c+18[/tex]

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Answer:

C.) StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction"/>

Step-by-step explanation:

Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (c squared minus 9) EndFraction?

StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction

StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction

StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction

StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction

Check the picture below.

[tex]p(h)=5000(2)^h\implies \stackrel{p(h)}{100000}~~ = ~~5000(2)^h\implies \cfrac{100000}{5000}=2^h \\\\\\ 20=2^h\implies \log(20)=\log(2^h)\implies \log(20)=h\log(2) \\\\\\ \stackrel{\textit{using the \underline{change of base rule}}}{\cfrac{\log(20)}{\log(2)}=h\implies \log_2(20)=h}\implies 4.3219\approx h[/tex]

Answer:

The relation is  c = 3.519g.

Step-by-step explanation:

This is direct variation.

c = kg     where k is the constant of variation.

Substituting the given values:

190 = k * 54

so the constant of variation is:

k = 190/54 = 3.519   to nearest thousandth,

and  the equation is:

c = 3.519g.

Answer:

4

Step-by-step explanation:

360 degrees in a circle /12  numbers on clock= 30 degrees for each number 120/30=4

Answer:

A frequency distribution is a table that shows “classes” or “intervals” of data entries with a count of the number of entries in each class.

Step-by-step explanation:

hope this helps you a little!

Answer:

1. C 3 1/8

2. A 3

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

12 hotdogs per min × 8 minutes = 96

145-96= 49

So he will have 49 hotdogs left.

Answer:

The answer is C. 418cm2

Step-by-step explanation:

A rectangular prism with a volume of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm with the value of x being 4.

The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.

Volume of rectangular prism = (length x width x height)

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeter, 2x centimeters, and x + 6 centimeters.

Volume of rectangular prism = (length x width x height)

      400 cm³  =( x + 1 )(2x)(x + 6 )

        400 cm³  =( x + 1 )(2x)(x + 6 )

Substitute 4cm as the value of x.

x + 1 centimeters = 4 cm + 1 cm = 5 cm

2x centimeters = 2 ( 4cm) = 8 cm

x + 6 centimeters = 4 cm + 6 cm = 10 cm

Volume of rectangular prism  = 10 cm × 5 cm × 8 cm

           = 400 cm³

Thus, the given rectangular prism of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm.

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Answer:

Step-by-step explanation:

its 10

Answer:

Step-by-step explanation:

Equation

Let the angles measure = x

Let the complimentary angle = 90 - x

3x - (90 - x) = 46                      Remove the brackets

Solution

3x - 90 + x = 56                       Combine like terms on the left

4x - 90 = 56                             Add 90 to both sides

4x - 90 +90 = 56 + 90             Combine

4x = 146                                    Divide by 4

4x/4 = 146/4        

x = 36.5

Answer

The given angle is 36.5

Answer: 3/10

Step-by-step explanation:

Hat price 3/5

Shirt price 9/10

Difference in Discount 2/5 - 1/10 = 4/10 - 1/10

Answer:

Step-by-step explanation:

A. Greatest common factor is 6, so wrong.

B. Correct.

C. Wrong, least common multiple is 8.

D. Wrong, least common multiple is 12.

Answer:

A)

Step-by-step explanation:

Given function:  

[tex]h(t)=-16t^2+75t+25[/tex]

The domain (input values) will be the x-intercepts, so the values of t when h(t) = 0.

The quickest way to find these is to use the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\implies t=\dfrac{-75 \pm \sqrt{75^2-4(-16)(25)} }{2(-16)}[/tex]

[tex]\implies t=\dfrac{-75 \pm \sqrt{7225}}{-32}[/tex]

[tex]\implies t=\dfrac{75 \pm 85}{32}[/tex]

[tex]\implies t=5, t=-\dfrac{5}{16}[/tex]

Time cannot be negative.

When h(t) = 0, the disk will hit the floor.

Therefore, the domain is restricted to 0 ≤ t ≤ 5

Answer: 1.8 X 10^8

Step-by-step explanation: 6.0 X 10^7 times .3 = 1.8 X 10^8

Answer:

100%

Step-by-step explanation:

You take everything away meaning you take 100% of the starting value to make it 0

Answer:

Number of maple trees planted = 462

Step-by-step explanation:

Let the number of oak trees planted be x.

Given,

The number of maple trees is 11 times the number of oak trees.

Therefore,

Number of maple trees planted = 11 * x = 11x

Total number of trees planted = Number of oak trees planted + Number of maple trees planted

504 = x + 11x

504 = 12x

x = 504/12 = 42

Number of oak trees planted = x = 42

Number of maple trees planted = 11x = 11 * 42 = 462

Answer:

136

Step-by-step explanation:

Let's plug in 7 for x. 3(7)^2-2(7)+3. 7 to the second power is 49. 49*3 is equal to 147. 147-2(7) is 147-14, which is 133. 133+3=136, and therefore that is the answer.

Answer:

136

Step-by-step explanation:

substitute x = 7 into the expression

3x² - 2x + 3

= 3(7)² - 2(7) + 3

= 3(49) - 14 + 3

= 147 - 11

= 136

The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,

A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.

The total change in the water = -1 1/4 x 2 1/2

= -5/4 x 5/2 = -25/8 = -3 1/8

To learn more about multiplication of fractions, please check: brainly.com/question/1114498

The estimated difference of the area of Colorado and Wyoming in scienfic notation is  2 x [tex]10^{-1}[/tex]m².

Scienfic notation is used in expressing large numbers in smaller numbers. In order to write a number in stscienfic notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

Area of Colorado = (6.12 x [tex]10^{5}[/tex]) x (4.5 x [tex]10^{5}[/tex]) = 27.54 x [tex]10^{10}[/tex]

= 2.8 x [tex]10^{11}[/tex]m²

Difference in the areas = 2.8 x [tex]10^{11}[/tex]m² - 2.6 x x [tex]10^{11}[/tex]m² = 0.2m²

= 2 x [tex]10^{-1}[/tex]m²

To learn more about scienfic notation, please check: https://brainly.com/question/25334755